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\(A=8^2\cdot32^4\\ =2^6\cdot2^{20}\\ =2^{26}\\ B=27^3\cdot9^4\cdot243\\ =3^9\cdot3^{12}\cdot3^5\\ =3^{26}\)
`A=8^2*32^4=(2^3)^2*(2^5)^4=2^6*2^20=2^26`
`B=27^3*9^4*243=(3^3)^3*(3^2)^4*3^5=3^9*3^8*3^5=3^22`
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+) \(2\times4\times8\times32\times64\)
\(=2\times2^2\times2^3\times2^5\times2^6\)
\(=2^{1+2+3+5+6}\)
\(=2^{17}\)
+) \(3\times9\times27\times81\times729\)
\(=3\times3^2\times3^3\times3^4\times3^6\)
\(=3^{1+2+3+4+6}\)
\(=3^{16}\)
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a) 82.324 = (23)2.(25)4 = 26 . 220 = 226
b) 273.94.243 = (33)3.(32)4.35 = 39.38.35 = 322
c)5.125.625 = 5.53.54 = 58
d)10.100.1000 = 10.102.103 = 106
e)84.165.32=(23)4.(24)5.25 = 212.220.25 = 237
f)274.8110=(33)4.(34)10=312.340=352
a) 82.324 = (23)2.(25)4 = 26 . 220 = 226
b) 273.94.243 = (33)3.(32)4.35 = 39.38.35 = 322
c)5.125.625 = 5.53.54 = 58
d)10.100.1000 = 10.102.103 = 106
e)84.165.32=(23)4.(24)5.25 = 212.220.25 = 237
f)274.8110=(33)4.(34)10=312.340=352